Adiabatic invariance, in which certain quantities of a system remain unchanged as a parameter of the system is infinitely slowly altered, plays a fundamental role in many areas of physics. For any harmonic oscillator, the adiabatic invariant is the energy divided by the frequency. When the alterations are slow but occur over a finite time, there is predicted to be an exponential suppression of the change in adiabatic invariant; that is, if epsilon is a dimensionless positive number that tends...

Topic: Adiabatic invariance

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256

May 6, 2010
05/10

by
Harvey, C. A

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Drift-minimum condition in control systems with disturbance inputs and invariance

Topics: BOOSTER ROCKET ENGINES, CONTROL, INVARIANCE, CONTROL, INVARIANCE

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Dec 16, 2015
12/15

by
IASET JOURNALS

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In this document, the image classification techniques and their steps have been put up using Bag of words which is extended to an image, making it bag of features or bag of visual words. It also focuses on the different techniques under Bag of Visual words. A comparative study also been done on Bag of visual words and its two different techniques. Spatial Pyramid Matching Scheme which encodes local spatial information(SPM) and geometry preserving visual phrase(GVP) which encode local as well as...

Topics: Mean average, Transformation, Invariance, Image

Journal of Research of the National Institute of Standards and Technology

Topics: polarized neutrons, time reversal invariance, polarized nuclei

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204

Jun 12, 2011
06/11

by
Jensen, K. A.; Ripoll, J.-F.; Wray, A. A.; Joseph, D.; ElHafi, M

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Five computational methods for solution of the radiative transfer equation in an absorbing-emitting and non-scattering gray medium were compared on a 2 m JP-8 pool fire. The temperature and absorption coefficient fields were taken from a synthetic fire due to the lack of a complete set of experimental data for fires of this size. These quantities were generated by a code that has been shown to agree well with the limited quantity of relevant data in the literature. Reference solutions to the...

Topics: SYMMETRY, INVARIANCE, QUANTUM THEORY, LORENTZ FORCE, PLANCKS CONSTANT

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970

May 6, 2010
05/10

by
Orthwein, W. C

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Rotational invariance of maxwell vector equations

Topics: INVARIANCE, MAXWELL EQUATION, VECTOR ANALYSIS, MAXWELL EQUATION, VECTOR ANALYSIS

9
9.0

Dec 7, 2017
12/17

by
Â© IASET

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Considered methods of solving Kolmogorov - Fisher type task of reacting with diffusion, in the two-dimensional case, obtained invariant properties of solutions and two way estimation of the solution. Given are the results of numerical experiments for various values included in the equation parameters, in the two-dimensional case.

Topics: Invariance properties, nonlinear problems, task solution, biological population

In recent world video and image compression, enhancement, restoration have become very essential. There are many applications where we need to use different transform techniques to convert the signal or data in frequency or time domain. However, with the wide spread of image usage in many fields of our lives, it becomes very important to develop new techniques. The previous research was based on Discrete wavelet transform. In this paper, we introduce Dual tree Complex Wavelet Transform and...

Topics: compression, double density complex wavelet transform, invariance, multiresolution, redundancy

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1.6K

Jun 20, 2010
06/10

by
Poincare, H

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Integral invariant method for calculations on celestial mechanics

Topics: ASYMPTOTIC SERIES, INVARIANCE, THREE-BODY PROBLEM, CELESTIAL MECHANICS, ENTIRE FUNCTIONS,...

This paper explores dwell time constraints on switched systems with multiple, possibly disparate invariant limit sets. We show that, under suitable conditions, trajectories globally converge to a superset of the limit sets and then remain in a second, larger superset. We show the effectiveness of the dwell-time conditions by using examples of switching limit cycles commonly found in robotic locomotion and flapping flight.

Topics: DTIC Archive, ILLINOIS UNIV AT URBANA-CHAMPAIGN, *INVARIANCE, DWELL TIME, FLIGHT, LOCOMOTION,...

S. Chandrasekhar Radiative Transfer Dover Publications Inc. 1960 Acrobat 7 Pdf 15.7 Mb. Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Rayleigh, Stokes Parameters, Gauss, Radau, Invariance, H-Functions, Diffuse, Scattering, Equilibrium

5
5.0

Dec 9, 2017
12/17

by
Â© IASET

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Considered methods of solving Kolmogorov - Fisher type task of reacting with diffusion, in the two-dimensional case, obtained invariant properties of solutions and two way estimation of the solution. Given are the results of numerical experiments for various values included in the equation parameters, in the two-dimensional case.

Topics: Invariance properties, nonlinear problems, task solution, biological population UDC: 577.3.01,...

Tests of local position invariance (LPI) made by comparing the relative redshift of atomic clocks based on different atoms have been carried out for a variety of pairs of atomic species. In most cases, several absolute frequency measurements per year are used to look for an annual signal, resulting in tests that can span on order of a decade. By using the output of continuously running clocks, we carry out LPI tests with comparable or higher precision after less than 1.5 years. These include...

Topics: DTIC Archive, NAVAL OBSERVATORY WASHINGTON DC, *ATOMIC CLOCKS, *INVARIANCE, *POSITION(LOCATION),...

The generalized likelihood ratio test (GLRT) is invariant with respect to transformations for which the hypothesis testing problem itself is invariant. This result from the statistics literature is presented in the context of some simple signal models. This is an important property of the GLRT in light of its widespread use and the recent interest in invariant tests applied to signal processing applications. The GLRT is derived for some examples in which the uniformly most powerful invariant...

Topics: DTIC Archive, NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI, *SIGNAL PROCESSING, *INVARIANCE,...

We consider the advantages of and the problems associated with hypotheses to explain the origin of ultrahigh energy cosmic rays (UHECR: E greater than 10 EeV) and the "trans-GZK" cosmic rays (TGZK: E greater than 100 EeV) both through "old physics" (acceleration in cosmic sources) and "new physics" (new particles, topological defects, fat neutrino cross sections, Lorentz invariance violation).

Topics: NASA Technical Reports Server (NTRS), ENERGY SPECTRA, COSMIC RAYS, HYPOTHESES, DEFECTS, NEUTRINOS,...

I give a brief overview of recent work concerning possible signals of Lorentz violation in sensitive clock-based experiments in space. The systems under consideration include atomic clocks and electromagnetic resonators of the type planned for flight on the International Space Station.

Topics: NASA Technical Reports Server (NTRS), ATOMIC CLOCKS, INVARIANCE, SENSITIVITY, INTERNATIONAL SPACE...

The fundamental symmetries studied here are Lorentz and CPT invariance, which form a cornerstone of the relativistic quantum theories used in modern descriptions of nature. The results obtained during the reporting period focus on the idea, originally suggested by the P.I. and his group in the late 1980s, that observable CPT and Lorentz violation in nature might emerge from the qualitatively new physics expected to hold at the Planck scale. What follows is a summary of results obtained during...

Topics: NASA Technical Reports Server (NTRS), SYMMETRY, INVARIANCE, QUANTUM THEORY, LORENTZ FORCE, PLANCKS...

The second method used by Lyapunov to study the stability of the trivial solution of dx/dt = Ax + f (x) leads to the problem of solving the matrix equation AX + XA' = C. It is shown that this question is related to Kronecker products and Kronecker sums, and the general problem of solving AX + XB = C is resolved in this fashion.

Topics: DTIC Archive, RAND CORP SANTA MONICA CA, *DIFFERENTIAL EQUATIONS, *MATRICES(MATHEMATICS),...

In contrast to the mass-related verbal flow description, given in Part I, the present one focuses on the significance of the co-operative interaction of textual agents and objectives in the production of information flows. Perspective Text Analysis (PTA) is used with the purpose of establishing their physical and functional significance in a non-mass based description of text building behaviour. The most important feature of Part II is the double aspect in the methodological approach to text...

Topics: morphological invariance, test, grapheme, distinctness, similarity, divergence, terminal states,...

411
411

Jul 21, 2010
07/10

by
Butler, T. G.; Strang, R. F.; Purves, L. R.; Hershfeld, D. J

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A theory was developed to compare vibration modes obtained by NASTRAN analysis with those obtained experimentally. Because many more analytical modes can be obtained than experimental modes, the analytical set was treated as expansion functions for putting both sources in comparative form. The dimensional symmetry was developed for three general cases: nonsymmetric whole model compared with a nonsymmetric whole structural test, symmetric analytical portion compared with a symmetric experimental...

Topics: DUST, ELECTROSTATICS, MODELS, PLASMAS (PHYSICS), CHARGED PARTICLES, DEBYE LENGTH, ELECTRON DENSITY...

Let A be Hermitian and let the orthonormal columns of X span an approximate invariant subspace of X. Then the residual R = AX-XM (M=XhAX) will be small. The theorems of this paper bound the distance of the spectrum of M from the spectrum of A in terms of appropriate norms of R.

Topics: DTIC Archive, MARYLAND UNIV COLLEGE PARK DEPT OF COMPUTER SCIENCE, *EIGENVALUES,...

This note is concerned with countably infinite product sigma-fields and their invariant, tail, and exchangeable sub-sigma-fields. Under an exchangeable probability the three sub-sigma-fields coincide as measure algebras (the theorems (1) and (7)). An immediate consequence is the Hewitt-Savage 0-1 law. A later section includes examples which by and large preclude extensions of (1) and (7) to probabilities merely invariant under the shift. However, at least one interesting conjecture of David...

Topics: DTIC Archive, STANFORD UNIV CA DEPT OF STATISTICS, *ALGEBRA, *PROBABILITY, INVARIANCE, THEOREMS

Identical items are simultaneously subjected to stress and operate independently until failure. The authors observe the early failures and use the times of these failure to predict the times of later failures in the same sample. Best linear invariant predictors are derived for location-scale families of failure time distributions, and two simplified predictors are developed. The relative behavior of the predictors is indicated in a table.

Topics: DTIC Archive, Kaminsky, Kenneth S, TECHNOLOGY INC DAYTON OH, *NORMAL DENSITY FUNCTIONS, *SAMPLING,...

An integration theory is provided for the canonical equations of motion with parallels to the classical theory of Jacobi. The new approach is applicable to the general case where there is no variational principle underlying the equations of motion.

Topics: DTIC Archive, RAND CORP SANTA MONICA CA, *STATISTICAL MECHANICS, DYNAMICS, HARMONIC GENERATORS,...

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272

Jul 23, 2010
07/10

by
NON

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No Abstract Available

Topics: AUTOMATIC CONTROL, INVARIANCE, LINEAR SYSTEMS, PERTURBATION, STATISTICAL ANALYSIS, DIFFERENTIAL...

A new approach to the recognition of solids of revolution has been developed and demonstrated. The technique involves the construction of bi-tangents to the outline curve of the occluding boundary of the object. The intersection of these bi-tangent lines corresponds to the image of a point on the axis of revolution of the object. An invariant index can then be computed from four or more such points by using the standard cross ratio. Several new projective invariants have been developed for 3D...

Topics: DTIC Archive, *MATHEMATICAL MODELS, *PATTERN RECOGNITION, *INVARIANCE, TWO DIMENSIONAL, SOLIDS,...

Unlike other standard equations in introductory classical mechanics, the Bernoulli equation is not Galilean invariant. The explanation is that, in a reference frame moving with respect to constrictions or obstacles, those surfaces do work on the fluid, constituting an extra term that needs to be included in the work?energy calculation. A quantitative example is presented here for a horizontal tapered pipe. A frame-independent expression for the pressure drop in the pipe is obtained. The...

Topics: DTIC Archive, NAVAL ACADEMY ANNAPOLIS MD, *EQUATIONS, FLUIDS, INVARIANCE, MECHANICS, NONLINEAR...

527
527

Sep 26, 2012
09/12

by
Kai-Long Hsiao

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In this study, towards analog and digital elliptic filters, use of transfer function through the choice of a particular filter structure from a set of design specifications to achieve the step change in transfer function analysis. Elliptic filter design with two optimization criteria (1) maximally flat amplitude response and (2) small amplitude ripple response, and the excellent performance of the filter available. There are many different filter design methods discussed in this paper is the...

Topics: Audio and Video, Elliptic filter, Signal processing, Matlab, Bilinear transformation method,...

This article concerns the rotation-translation hypothesis. Oscillations in pattern dynamics are shown to produce perspective transformations of motifs and themes. At the kinematic level, this condition has made it possible to extract different perspective orientations. As a result, it is shown that motifs carry intentional cues and locate structurally the observerÃ¢s thematic orientation. Since the original text and its translation share highly similar informational invariants, their attractor...

Topics: translation, synthetic, proposition, structure, invariance, accusation, dependency, displacement,...

Characterizations of the linear independence and stability properties of the integer translates of a compactly supported univariate refinable function in terms of its mask are established. The results extend analogous ones of Jia and Wang which were derived for dyadic refinements and finite masks.

Topics: DTIC Archive, Ron, Amos, WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES, *SHIFTING,...

281
281

May 23, 2011
05/11

by
Alexander, M. J.; Rosenlof, K. H

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The role of gravity wave forcing in the zonal mean circulation of the stratosphere is discussed. Starting from some very simple assumptions about the momentum flux spectrum of nonstationary (non-zero phase speed) waves at forcing levels in the troposphere, a linear model is used to calculate wave propagation through climatological zonal mean winds at solstice seasons. As the wave amplitudes exceed their stable limits, a saturation criterion is imposed to account for nonlinear wave breakdown...

Topics: BINARY CODES, INVARIANCE, PHASE MODULATION, PHASE SHIFT KEYING, COMPUTER PROGRAMS, WHITE NOISE,...

Paul Alexandroff Elementary Concepts in Topology Dover Publications Inc. 1961 Acrobat 7 Pdf 11.1 Mb. Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Mathematics, Polyhedra, Manifolds, Topological Spaces, Algebraic Complexes, Simplical Mappings,...

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230

May 27, 2011
05/11

by
Schneider, Harol

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This method is investigated for semi-infinite multiple-slab configurations of arbitrary width, composition, and source distribution. Isotropic scattering in the laboratory system is assumed. Isotropic scattering implies that the fraction of neutrons scattered in the i(sup th) volume element or subregion that will make their next collision in the j(sup th) volume element or subregion is the same for all collisions. These so-called ''transfer probabilities'' between subregions are calculated and...

Topics: BOLTZMANN TRANSPORT EQUATION, HYDRODYNAMICS, MODELS, NAVIER-STOKES EQUATION, NONLINEARITY,...

Alternative descriptions of a decision problem often give rise to different preferences, contrary to the principle of invariance that underlies the rational theory of choice. Violations of this theory are traced to the rules that govern the framing of decisions and the psychophysical principles of evaluation embodied in prospect theory. Invariance and dominance are obeyed when their application is transparent and often violated in other situations. Because these rules are normatively essential...

Topics: DTIC Archive, Tversky,Amos, STANFORD UNIV CA, *DECISION MAKING, *REASONING, THEORY, INVARIANCE

From the bitsavers.org collection, a scanned-in computer-related document. mit :: ai :: aim :: AIM-1629

Topics: invariance, model, receptive, response, stimulus, neuron, neurons, intermediate, cells, stimuli,...

Bell System Technical Journal, 58: 8. October 1979 pp 1885-1894. A Characterization of the Invariance of Positivity for Functional Differential Equations. (Sandberg, I.W.)

Topics: property, theorem, condition, positivity, differential, invariance, lipschitz, solution, equations,...

If a binary code is invariant under a doubly-transitive permutation group, then the set of all code words of weight j forms a balanced incomplete block design. Besides the extended normal BCH codes and the extended quadratic residue codes, the Reed-Muller codes are proven to be invariant under a doubly- transitive permutation group. Thus, BIB designs can be derived from these classes of codes. It is shown that if the symbols of the Reed-Muller codes are properly arranged, and if the first digit...

Topics: DTIC Archive, HAWAII UNIV HONOLULU (MANOA CAMPUS) DEPT OF ELECTRICAL ENGINEERING, *COMBINATORIAL...

We study in this paper certain types of bases for shift-invariant subspaces. Our primary objective is to connect among three important families of basis sets: shift-invariant sets. Weyl-Heisenberg sets, and affine (wavelet) sets. The present paper is the first in a series of three, and is concerned with the basic theory of shift-invariant bases for the shift-invariant spaces. The two papers, (RS1) and (RS2), will focus on the applications of the theory developed here to Weyl-Heisenberg and...

Topics: DTIC Archive, Ron, Amos, WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES, *SHIFTING,...

This paper derives such an inequality for a large class of density functions and a large class fo convex sets. The most general results are given for the bivariate case. An extention to the n-dimensional case appears to be difficult except for some special cases such as the case of independent identically distributed random variables or when the underlying joint density is spherically symmetric. The class of convex sets considered includes D sub infinity and D sub 2 as special cases and special...

Topics: DTIC Archive, Shaked,Moshe, ARIZONA UNIV TUCSON, *INEQUALITIES, DENSITY, RANDOM VARIABLES,...

One of the most difficult problems in clustering analysis is the choice of an appropriate distance metric. This problem arises because in many instances an object is described by n measurements involving different units (for example, a radar signal may be described by its frequency in gigahertz, its interpulse period in milliseconds, and its pulsewidth in microseconds). In this report I circumvent the problems by considering clustering algorithms which are invariant to scaling of the axes and...

Topics: DTIC Archive, Trunk,G V, NAVAL RESEARCH LAB WASHINGTON DC, *ALGORITHMS, CLUSTERING, RADAR SIGNALS,...

Percentiles and linear combinations of order statistics are statistics which are sometimes preferred to averages because they can be less sensitive to the presence of a few wild observations. It is well known that for large samples, both percentiles and linear combinations of order statistics resemble averages in that the appropriately normalized statistic is approximately normally distributed, with parameters which depend on the underlying distributions. This paper shows that percentiles and...

Topics: DTIC Archive, Leurgans,Sue, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *ORDER STATISTICS,...

A practically important regularization of the Navier-Stokes equations have been analyzed. As a continuation of the previous work, this paper studies the structure of the attractors characterizing the solutions. Local as well as global invariant manifolds have been found. Regularity properties of these manifolds are analyzed.

Topics: DTIC Archive, Ou, Yuh-Roung, INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON...

One of the early applications of continuous transformation groups and pseudo groups was to invariant systems of ordinary and partial differential equations. Much of this work was done by S. Lie and E. Vessiot before Cartan's contributions to infinite continuous pseudo groups. The purpose of this paper is to develop parts of the older theory of Lie and Vessiot in Cartan's con text. The essential role played by Cartan's canonical forms in determining invariant systems is demonstrated. Automorphic...

Topics: DTIC Archive, Johnson, H H, WASHINGTON UNIV SEATTLE, *PARTIAL DIFFERENTIAL EQUATIONS, *MATHEMATICS,...

This report describes the performance of linear space-variant and invariant filters for several input conditions. The performance of the space-variant filters is shown to be better than the space-invariant filters for many conditions of interest. Spatial variations in both the object being viewed and in the transmission medium are included.

Topics: DTIC Archive, Belsher, J F, STANFORD UNIV CA, *IMAGE PROCESSING, *SPATIAL FILTERING, COVARIANCE,...

A design technique for root placement with full state feedback using transfer functions for all-pole plant is presented in this thesis. A number of examples are presented to demonstrate the procedure with this design technique when all the system states are available to be measured and fedback. The design procedure presented is applicable for linear, time invariant (LTI) systems in the s-domain for continuous time. In order to get the roots at desired locations by transfer function methods very...

Topics: DTIC Archive, Ates, Mehmet, NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *FEEDBACK, *LINEAR SYSTEMS,...

In theories of numerical stability, roots to a characteristic polynomial are sought, which, in the case of the predictor with iterative correction method of numerical integration, are eigenvalues of a matrix whose elements depend on the coefficients used in the integration process. The characteristic polynomial is displayed explicitly in terms of the elements of the characteristic matrix.

Topics: NASA Technical Reports Server (NTRS), INVARIANCE, MATRICES (MATHEMATICS), POLYNOMIALS, NUMERICAL...

The transition of a number of hadronic process characteristics to a certain universal regime is interpreted as an indication to the early origination of the unification regime of the interactions.

Topics: NASA Technical Reports Server (NTRS), HADRONS, NUCLEAR SCATTERING, PARTICLE INTERACTIONS, COSMIC...

Topics: DTIC Archive, Maurer,Donald E, CENTER FOR NAVAL ANALYSES ARLINGTON VA, *GROUPS(MATHEMATICS),...

A new approach for proving temporal properties of concurrent programs is presented. The approach does not use temporal logic. To show that a program satisfies a given temporal property, the property is first decomposed into proof obligations. These obligations are then discharge by devising suitable invariant assertions and variant functions for the program. The approach is quite general - it handles a superset of the properties that can be expressed in linear-time temporal logic. Keywords:...

Topics: DTIC Archive, Alpern,Bowen, CORNELL UNIV ITHACA NY DEPT OF COMPUTER SCIENCE, *COMPUTER PROGRAM...

The systems considered are those that can be characterized by a finite set of Volterra kernels. The approach is to consider the kernels one at a time, by using as basic elements in the synthesis linear systems and multipliers. The author presents a procedure for testing a given kernel transform to determine whether or not the kernel can be realized exactly with a finite number of linear systems and multipliers. The test is constructive. If it is possible to realize the kernel exactly, a...

Topics: DTIC Archive, MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS, *SYNTHESIS,...